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Finding the Fourth Proportional to 10,132.68, 13,982.68 and 5,656.28

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Solution

The fourth proportional to 10,132.68, 13,982.68 and 5,656.28 is: 7,805.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.68 : 13,982.68 = 5,656.28 : x
  2. Step 2: Convert to fraction form
    10,132.68/13,982.68 = 5,656.28/x
  3. Step 3: Cross multiply
    10,132.68x = 13,982.68 × 5,656.28
  4. Step 4: Simplify right side
    10,132.68x = 79,089,953.23
  5. Step 5: Solve for x
    x = 79,089,953.23/10,132.68
  6. Step 6: Final answer
    x = 7,805.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.